Put an end to a current measure in drink (5,3)
I believe the answer is:
stamp out
'put an end to' is the definition.
(synonyms)
'a current measure in drink' is the wordplay.
'a current measure' becomes 'amp' (short for ampere, unit of electrical current).
'in' means one lot of letters goes inside another.
'drink' becomes 'stout' (type of beer).
'amp' going within 'stout' is 'STAMP OUT'.
(Other definitions for stamp out that I've seen before include "Suppress with heavy foot" , "A stout MP (anag.)" , "Scotch" , "Eradicate - as with heavy foot (5,3)" , "Completely dispose of" .)